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Article Dans Une Revue IEEE Control Systems Letters Année : 2024

Plant-Order Saturated Output-Feedback Regional Controller Synthesis With Sign-Indefinite Quadratic Forms

Résumé

This note provides tools to design a dynamic plant-order output-feedback controller for linear plants subject to saturating input with measurable output. Based on Linear Matrix Inequalities (LMIs), together with appropriate transformations and sector conditions, the proposed solution exploits sign-indefinite quadratic forms to define a locally positive definite piece-wise Lyapunov function providing non-ellipsoidal estimates of the closed-loop basin of attraction. With guaranteed local exponential stability, methods to ensure a prescribed local exponential convergence rate and to maximize the estimates of the region of attraction are also given.
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hal-04652436 , version 1 (18-07-2024)

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Santiago Pantano Calderón, Sophie Tarbouriech, Luca Zaccarian. Plant-Order Saturated Output-Feedback Regional Controller Synthesis With Sign-Indefinite Quadratic Forms. IEEE Control Systems Letters, 2024, 8, pp.562-567. ⟨10.1109/LCSYS.2024.3397693⟩. ⟨hal-04652436⟩
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